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4 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Mathematics

1 answer:

Pavlova-9 [17]4 years ago

8 0

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t

Zarrin [17]

By first principles, the derivative is

$\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h$

Use the binomial theorem to expand the numerator:

$(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n$

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where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

The first term is eliminated, and the limit is

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A power of $h$ in every term of the numerator cancels with $h$ in the denominator:

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4 0

3 years ago

Can someone solve this? Number 25 only please.

V125BC [204]

0.06x0.06 = 0.0036

dont wory about the zeros just the actual numbers than add the zeros

6 0

3 years ago

Need help help for 30 points

S_A_V [24]

100 times 17 bc u have to count the shdded parts

4 0

3 years ago

Read 2 more answers

I don't understand how to go about solving this equation more specifically the "y". Any help is appreciated. (:

Archy [21]

Answer:

y^2/x^6

apply exponent rule:

x^-2/x^4=1/x^4-(-2)=y/y^-1 x^4 -(-2)

then you subtract 4-(-2)=6

y/x^6 y^-1

cancel out the common factor: y^-1 and you get

y^2

------

x^6

6 0

3 years ago

A rectangular garden plot measures 9 m by 5 m. Chillies are planted in a rectangular area of the garden that measures 4.5 m by 2

Katena32 [7]

Answer:

20% of the garden is in chillies.

Step-by-step explanation:

$\frac{4.5 \times 2}{9 \times 5} = \frac{9}{45} = \frac{1}{5} = 20\%$

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2 years ago